One of the main results of [1]} is that the scaling window is simply the set of \((p,R)\)  such that \(R=O(L(p))\) .
This result is sometimes referred to as stability below the characteristic length; it is the subject of the following theorem in the context of the random-cluster model.
Together with Theorem REF  the stability result legitimates the two physical interpretations of the correlation length: in terms of rate of decay and in terms of scaling window. We state the result for \(q\ne 1\)  as the case \(q=1\)  was already treated in [1]}.
